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Finding the Fourth Proportional to 313,475.50, 469,752.33 and 185,259.82

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Solution

The fourth proportional to 313,475.50, 469,752.33 and 185,259.82 is: 277,617.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,475.50 : 469,752.33 = 185,259.82 : x
  2. Step 2: Convert to fraction form
    313,475.50/469,752.33 = 185,259.82/x
  3. Step 3: Cross multiply
    313,475.50x = 469,752.33 × 185,259.82
  4. Step 4: Simplify right side
    313,475.50x = 87,026,232,100.38
  5. Step 5: Solve for x
    x = 87,026,232,100.38/313,475.50
  6. Step 6: Final answer
    x = 277,617.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.